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Algebraic Limit Cycles in Piecewise Linear Differential Systems
(World Scientific Publ Co Pte Ltd, 2018-03-01)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some ...
Post-cycling Interface Strength Test of Geogrids
(2020-07-01)
Geosynthetic-reinforced soil structures are commonly used in seismic design in regions. The performance of GRES under seismic conditions can be found to range from very good to catastrophic. This paper presents the ...
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Elsevier B.V., 2015-04-01)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number ...
On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
(2015-11-15)
In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2011-11-01)
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(World Scientific Publ Co Pte Ltd, 2011-11-01)
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones
(Elsevier B.V., 2011-12-01)
We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the ...
On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones
(Elsevier B.V., 2011-12-01)
We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the ...
Limit cycles for some families of smooth and non-smooth planar systems
(Elsevier B.V., 2021-06-01)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. Our results can be ...
Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
(2021-06-01)
Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov ...